Theorems · Theorem · general algebraic systems
Function.support_binop_subset
∀ {ι : Type u_1} {M : Type u_3} {N : Type u_4} {P : Type u_5} [inst : Zero M] [inst_1 : Zero N] [inst_2 : Zero P]
(op : M → N → P),
op 0 0 = 0 →
∀ (f : ι → M) (g : ι → N), (Function.support fun x => op (f x) (g x)) ⊆ Function.support f ∪ Function.support g- Defined in
- Mathlib.Algebra.Notation.Support
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Function.supportstatement and proof · cited by 610
- not_or_of_impproof · cited by 8
Cited by6
Results whose statement or proof uses this declaration.
- Function.support_addproof · cited by 7
- Function.support_subproof · cited by 4
- Function.support_supproof · cited by 4
- Function.support_infproof · cited by 4
- tsupport_binop_subsetproof · cited by 3
- Function.support_add_negproof · cited by 0